Question
$$25(x-1)^2 = 49$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 2 }{ 5 } & x_2 = \dfrac{ 12 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 25(x-1)^2 &= 49&& \text{simplify left side} \\[1 em]25(x^2-2x+1) &= 49&& \\[1 em]25x^2-50x+25 &= 49&& \text{move all terms to the left hand side } \\[1 em]25x^2-50x+25-49 &= 0&& \text{simplify left side} \\[1 em]25x^2-50x-24 &= 0&& \\[1 em] \end{aligned} $$
$ 25x^{2}-50x-24 = 0 $ is a quadratic equation.
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